The semistatic limit for maxwell's equations in an exterior doimain

DOI10.1080/03605309808821410zbMath0919.35133OpenAlexW2021916763MaRDI QIDQ4228067

Frank Jochmann

Publication date: 29 August 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821410

zbMATH Keywords

uniquenessdecayMaxwell's equationsexterior domainexistence of strong solutionssemistatic limit

Mathematics Subject Classification ID

Related Items (11)

Energy decay of solutions to Maxwell's equations with conductivity and polarization ⋮ Convergence of the mixed finite element method for Maxwell's equations with nonlinear conductivity ⋮ Static and evolution equations with degenerate curls ⋮ The general magneto-static model and Maxwell-Stokes system with topological parameters ⋮ Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type ⋮ Meissner states of type II superconductors ⋮ ON A NONLINEAR MAXWELL'S SYSTEM IN QUASI-STATIONARY ELECTROMAGNETIC FIELDS ⋮ Unnamed Item ⋮ Well-posedness theory for electromagnetic obstacle problems ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities ⋮ On a singular limit problem for nonlinear Maxwell's equations

Cites Work

• An elementary proof for a compact imbedding result in generalized electromagnetic theory
• Semigroups of linear operators and applications to partial differential equations
• Weak solution theory for Maxwell's equations in the semistatic limit case
• A local compactness theorem for Maxwell's equations
• Weakly Differentiable Functions
• Global solutions of Maxwell's equations in an electromagnetic field with a temperature-dependent electrical conductivity
• A compactness result for vector fields with divergence and curl in L^q(ω) involving mixed boundary conditions

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